(General math)a. Design, write, compile, and run a C++ program that calculates and display...

(General math)

a. Design, write, compile, and run a C++ program that calculates and displays the area of a triangle, such as the one in Figure, with a base of 1 in and a height of 1.5 in. The area is given by this formula:

Area = 1⁄2 (base) × (height)

Figure: A two-dimensional triangle

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b. Manually check the values computed by your program. After verifying that your program is working correctly, modify it to determine the area of a two-dimensional triangle with a base of 3.5 in and a height of 1.45 in.